a) Find {") { [5715) ( 5+2) } for -2<5<-> by 25 (5+1)(5+2) زدا evaluating the inverse transform integral Repeat for {{ (5215) (5+2) } for - S -2

Q: Find the inverse Z-Transform for X(Z) shown below for ROC 1- 03 22 – 4z X(Z) = (z – 1)(2² – 5z + 6)…

A: Given, Xz=z2-4zz-1z2-5z+6X(z)=zz-4z-1z2-2z-3z+6Xzz=z-4z-1zz-2-3z-2Xzz=z-4z-1z-2z-3…

Q: (1 -5<t<0 is The Fourier Series expansion of f(t) =11+t 0<t<5 (-1)" nnt nnt sin 22- f(t) [[(– 1)" –…

A:

Q: The Fourier series of the given piecewise function has -n < x < 0 0<x < n -3 when f(x) = { 3 %3D…

A: The solution is given as

Q: Prove that for all positive integers n, 2'x1+2?x 2 + 2³x 3 + ... + 2" x n = 2+(n– 1)2"+1 Tips and…

A: The detailed solution is as follows below:

Q: What is the coefficient of x'y'z? in the expansion of (x+/y +z?)® using Binomial Theorem Binomial…

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Q: sen } 4

A: Let us find the Z transform of the given sequence in the next steps.

Q: Prove the ..... Pr |P2n-1 Pn (− 4 ) = ² ( − 12 ) Pan ( 1 ) + ¹³ ( − 1) ³²2-1 (9) + + (-))) 2 P211

A:

Q: (d) (27+5)(2- i)|=/3 12z +5|. %3D

A: Solution D: We have to prove (2z¯+5)(2-i)=3(2z+5) L.H.S. Let z=x+iy So z¯=x-iy therefore…

Q: 5:2 Find the 2-transform of the sequence x(n)=-duc-m-1) and draw Zero - pole diagram with…

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Q: Find the z-transform of the following x[n]: x[n] = {{, 1, − }} x[n] = 28[n+ 2]- 38[n - 2] x[n] = 3(…

A: Introduction: The Z-transformation is the way to transform a discrete time signal into a complex…

Q: -7<Xく -% -%くxく 0 0<ズく% %くズく fea)= a + 2X N -2ズ fex) = -1<ズくO 0くXく1 b) |3|

A:

Q: Obtain Z-transform of ( G) -e-Ts S \s+1

A: Consider the given function: X(s)=1-e-Tss1s+1=1-e-Tss(s+1)

Q: The generating function of a_{n+1}=8a_{n}+4n*, where a,=3 is a. Σ2x)^k+Σ (4x) ^{k Ο b. Σ( 2x) ^{k}+…

A: To find the generating function of an+1=8an+4n+1 First multiplying the relation by xn and taking…

Q: (1+v2)+i_ Z2 (1+2) (b) Show that -i 2

A:

Q: Prove. Show all steps to get to ln (2^(-2n))

A: Step 1: Given data :The expression is represented as, ln(BA​)=ln(((2N)![(N−n)!]2)(N!)2(2N−n)!​).…

Q: Q8) Assume that the roots of a characteristic polynomial of a homogeneous ODE with constant…

A: Given: Roots of the characteristic equation of a homogeneous ODE with constant coefficients are…

Q: ;0<x<0, - 0 <0 <0 Let X,,X,X,r(x;e)=- e.w Discuss the sufficiency by using Factorization Theorem.

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Q: Find the sequence x(k) if the Z-Transform of the sequence is given as 22 + z (2-2) (z-1) F(z) x{k} =…

A:

Q: The generating function of a_{n+1}=8a_{n}+4*, where a,=3 is Ο a. Σ2x)^+Σ (4x) ^Κ O b.…

A: Given an+1=8an+4n+1 Multiply the recurrence relation by xn an+1xn=8anxn+4n+1xn…

Q: Determine the z-transform of the sequence x(n) = 3"u(n – 3) using z-transform properties. Express…

A:

Q: Please can you solve it fast 18) What are the 4-point Discrete Fourier Transform (DFT) coefficients…

A: The sequence of xn is given by , xn=δn+δn-2+δn-3 The 4 point of DFT of xn , Given that N=4 ,…

Q: Ql: Find the Z-transform of the following: * P(828) numbers 1- 2k 7- 5 cos 2k 13) 3(-5)* 16)…

A: In the given question we have to find the z- transformation of the given discrete functions.before…

Q: 3)If X(z)= 2²-0-5z z²+0-75z+ b) X(n) = [4"-3"]u(n) c)) X(n) = [4¹-3"]u(n) . † 4) If X(2)(z-30)(2-40)…

A:

Q: 21) f(x)=47x A) (4 ln 7)47x Write summation notation for B) (7ln 4)47x x(In 2) C) (In 4) 47x x(In x)…

A: Finding the derivative of f(x)

Q: (a) Prove that 1^2+2^2+3^2+………..+n2= n(n+1) (2n+1) divided by 6 For all positive integers n.  (b)…

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Q: 1 3-Find zeros and poles of x(z) = %3| (1--)(1–22-2)

A: We are given two questions, so i will solve only the first one:Given: x(z)=11-13z-11-2z-2…

Q: 1 3-Find zeros and poles of x(z) : (1--)(1–2-2)

A: Zeroes and poles are properties of a transfer function. Poles and zeroes of a functions defines on…

Q: The Fourier series of the given piecewise function has when -n < x < 0 when -3 f(x) = { 3 %3D 0<x<n…

A:

Q: 2) For the Fourier series of the function f, ao + Σo acos (kx) + bxsin (kx) we have |bk| ≤ 211/11.…

A: Solution:2)b)FalseWe can solve it by taking a simple exampleFourier series of any function f is a0+…

Q: {« ()}

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Q: Find the inverse z-Transform 2z 3z X(z) Z-1 == Z + e-4 of the sequence defined by: 15z (z - 5)²

A: Given Information:To find:The inverse  transform of the given sequence.Concept used:If  is a pole of…

Q: 2-¹ {881 (0 -₁)} = athert sen(8t), (8-8)²+64, What's the value of a*c?

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Q: {3* + (-3)k + 3k}

A: